Transport critical currents of DyBa₂Cu₃O₇/(Y₁₋ₓPrₓ)Ba₂Cu₃O₇ (DyBCO/YPrBCO) multilayers have been measured. Using careful meausurements of the temperature and magnetic field dependence of critical current density Jc of the multilayers, we observed two distinct regions in the solid vortex state. From these experimental results, we discuss the dimensionality, the vortex states, and the vortex pinning in the multilayers.